$A$ coin is tossed again and again. If tail appears on the first three tosses, then the chance that head appears on the fourth toss is

Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment:
$A:$ the sum is even.
$B:$ the sum is a multiple of $3$.
$C:$ the sum is less than $4$.
$D:$ the sum is greater than $11$.
Which pairs of these events are mutually exclusive?

$A$ card is drawn from a well-shuffled pack of $52$ cards. The probability of getting a queen of clubs or a king of hearts is

Let $S$ be the sample space of all five-digit numbers. If $p$ is the probability that a randomly selected number from $S$ is a multiple of $7$ but not divisible by $5$,then $9p$ is equal to.

Two dice are thrown together. The probability that the sum of the numbers is divisible by $2$ or $3$ is

The probability of obtaining an even prime number on each die,when a pair of dice is rolled,is . . . . . . .